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Finding the Fourth Proportional to 206,196.56, 309,343.14 and 64,034.57

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Solution

The fourth proportional to 206,196.56, 309,343.14 and 64,034.57 is: 96,066.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,196.56 : 309,343.14 = 64,034.57 : x
  2. Step 2: Convert to fraction form
    206,196.56/309,343.14 = 64,034.57/x
  3. Step 3: Cross multiply
    206,196.56x = 309,343.14 × 64,034.57
  4. Step 4: Simplify right side
    206,196.56x = 19,808,655,872.26
  5. Step 5: Solve for x
    x = 19,808,655,872.26/206,196.56
  6. Step 6: Final answer
    x = 96,066.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.